Abstract
We show that every class A operator has a scalar extension. In particular, such operators with rich spectra have nontrivial invariant subspaces. Also we give some spectral properties of the scalar extension of a class A operator. Finally, we show that every class A operator is nonhypertransitive.
| Original language | English |
|---|---|
| Pages (from-to) | 249-260 |
| Number of pages | 12 |
| Journal | Studia Mathematica |
| Volume | 198 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2010 |
Keywords
- Class a operator
- Invariant subspace
- Nonhypertransitive
- Scalar extension
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